Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
110864l |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
-9.3460435807833E+18 |
Discriminant |
Eigenvalues |
2- -1 -1 -1 -2 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4576576,-3769762816] |
[a1,a2,a3,a4,a6] |
Generators |
[2882:83486:1] |
Generators of the group modulo torsion |
j |
-536198730680521/472724096 |
j-invariant |
L |
2.5936355463833 |
L(r)(E,1)/r! |
Ω |
0.051607333636434 |
Real period |
R |
3.1410695326656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998952169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858k1 8528c1 |
Quadratic twists by: -4 13 |